$\"\"$

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Acceleration function is $\"\"$ , $\"\"$ and $\"\"$ .

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(a)

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Velocity function is integral of acceleration function.

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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Initial velocity of the particle , $\"\"$ .

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Substitute $\"\"$ in $\"\"$

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$\"\"$

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$\"\"$ .

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Velocity function of the particle is $\"\"$ m/sec.

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$\"\"$

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(b)

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Distance traveled by the particle during time period $\"\"$ and $\"\"$ , when $\"\"$ ,

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$\"\"$ .

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Distance traveled by the particle during time period $\"\"$ and $\"\"$ sec,

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Distance traveled by the particle during time period $\"\"$ and $\"\"$ sec is $\"\"$ meters.

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$\"\"$

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(a) Velocity function of the particle is $\"\"$ m/sec.

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(b) Distance traveled by the particle during time period $\"\"$ and $\"\"$ sec is $\"\"$ meters.